Question

the difference between 12th and 8th term of an arithmetic sequence is 20 find the common difference

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Answer 1

Answer:

Step-by-step explanation:

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Answer 2

Given that ,

The difference between 12th and 8th term of an AP is 20

We know that , the nth term of an AP is given by

$\large \sf \fbox{ a_{n} = a + (n - 1)d}$

Thus ,

a + {12 + 1}d - (a + {8 - 1}d) = 20

a + 11d - (a + 7d) = 20

11d - 7d = 20

4d = 20

d = 5

$\therefore \sf \underline{The \: common \: difference \: of \: AP \: is \: 5}$